Presented By: Dissertation Defense - Department of Mathematics
Dissertation Defense: Classification Results of Orbit Closures of Translation Surfaces
Christopher Zhang
Abstract:
Translation surfaces are a type of flat surface that generalizes the dynamics on flat tori to higher genera. This has applications to billiards and the finite blocking problem. Studying dynamics on individual translation surfaces is often done by studying a different dynamical system on the moduli space of translation surfaces. This thesis covers three classification results of orbit closures in these moduli spaces.
Hybrid Defense:
4096 East Hall
https://umich.zoom.us/j/96421130925?pwd=cC9OSHNUV1FtTFJ3RUFaWDVNT0I3UT09
Translation surfaces are a type of flat surface that generalizes the dynamics on flat tori to higher genera. This has applications to billiards and the finite blocking problem. Studying dynamics on individual translation surfaces is often done by studying a different dynamical system on the moduli space of translation surfaces. This thesis covers three classification results of orbit closures in these moduli spaces.
Hybrid Defense:
4096 East Hall
https://umich.zoom.us/j/96421130925?pwd=cC9OSHNUV1FtTFJ3RUFaWDVNT0I3UT09
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